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nataliahenderso
17.04.2020 •
Mathematics
For each problem, find an example of an equation that would work with the following criteria
1. The two x-intercepts are 2 and 10. The y-intercept is -12
2. The Axis of Symmetry is x = 4. The y-intercept is 28
3. The Axis of Symmetry is x = -3. The y-intercept is 24.
4. The x-intercepts are 8 and -4. The y-intercept is 16.
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Ответ:
1. y = 0.6x² - 7.2x + 12
2. y = x² - 8x + 28
3. y = x² + 6x + 24
4. y = -0.5x² + 2x + 16
Step-by-step explanation:
1. The two x-intercepts are 2 and 10. The y-intercept is -12
A(x - 2)(x - 10)
A(x² - 12x + 20)
20A = 12
A = ⅗ = 0.6
y = 0.6x² - 7.2x + 12
2. The Axis of Symmetry is x = 4. The y-intercept is 28
(x - 4)² + C
x² - 8x + 16 + C
16 + C = 28
C = 12
y = (x - 4)² + 12
y = x² - 8x + 28
3. The Axis of Symmetry is x = -3. The y-intercept is 24.
(x + 3)² + c
x² + 6x + 9 + C
9 + C = 24
C = 15
y = x² + 6x + 24
4. The x-intercepts are 8 and -4. The y-intercept is 16.
A(x - 8)(x+ 4)
A(x² - 4x - 32)
-32A = 16
A = -0.5
y = -0.5x² + 2x + 16
Ответ:
If anything it would be blue.